MinT - Information on Result #941563

Information on Result #941563

Linear OOA(2¹⁶⁶, 86, F₂, 2, 105) (dual of [(86, 2), 6, 106]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁰, 23, F₂, 2, 25) (dual of [(23, 2), 6, 26]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2⁴², 24, F₂, 2, 27) (dual of [(24, 2), 6, 28]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
      - Reedâ€“Solomon code RS(2,8) [i]
    2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2¹²⁰, 63, F₂, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
    - Simplex code S(3,4) [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁶⁶, 86, F₂, 2, 104) (dual of [(86, 2), 6, 105]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁶, 86, F₂, 2, 103) (dual of [(86, 2), 6, 104]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁶, 86, F₂, 2, 102) (dual of [(86, 2), 6, 103]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁶, 86, F₂, 2, 101) (dual of [(86, 2), 6, 102]-NRT-code)	[i]
5	Linear OOA(2¹⁶⁶, 86, F₂, 2, 100) (dual of [(86, 2), 6, 101]-NRT-code)	[i]
6	Linear OOA(2¹⁶⁶, 43, F₂, 4, 105) (dual of [(43, 4), 6, 106]-NRT-code)	[i]		OOA Folding